Lothar Göttsche - Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces

epiga:5282 - Épijournal de Géométrie Algébrique, October 9, 2020, Volume 4 - https://doi.org/10.46298/epiga.2020.volume4.5282
Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces

Authors: Lothar Göttsche

We compute generating functions for elliptic genera with values in line bundles on Hilbert schemes of points on surfaces. As an application we also compute generating functions for elliptic genera with values in determinant line bundles on moduli spaces of sheaves on K3 surfaces.


Volume: Volume 4
Published on: October 9, 2020
Submitted on: March 13, 2019
Keywords: Mathematics - Algebraic Geometry


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